# Find the integral of #(x-10)^2#?

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Please see below.

Method 1

Method 2

Note

Expanding the second answer, we get

So the two solution methods lead to different constants.

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The integral of (x-10)^2 is:

∫ (x-10)^2 dx = (1/3)(x-10)^3 + C

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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